Edit Profile Ying, Lexing Compute Distance To: Compute Author ID: ying.lexing Published as: Ying, Lexing External Links: MGP · Wikidata Documents Indexed: 97 Publications since 2004 all top 5 Co-Authors 10 single-authored 15 Lin, Lin 13 Lu, Jianfeng 11 Engquist, Bjorn E. 10 Demanet, Laurent 7 Ho, Kenneth L. 7 Yang, Haizhao 6 Damle, Anil 6 E, Weinan 6 Fan, Yuwei 6 Tsuji, Paul 5 Candès, Emmanuel J. 5 Minden, Victor 5 Poulson, Jack 4 Khoo, Yuehaw 4 Li, Yingzhou 3 Biros, George 3 Feliu-Fabà, Jordi 3 Liu, Fei 3 Qian, Jianliang 3 Zorin, Denis N. 2 Hu, Jingwei 2 Maxwell, Nicholas 2 Schmitz, Phillip G. 2 Yang, Chao 2 Zepeda-Núñez, Leonardo 1 An, Jing 1 Bao, Gang 1 Benson, Austin R. 1 Cai, Zhenning 1 Car, Roberto 1 Donoho, David Leigh 1 Ferrara, Matthew 1 Fomel, Sergey B. 1 Jiang, Shidong 1 Li, Siwei 1 Li, Wuchen 1 Lindsey, Michael 1 Liu, Fei 1 Liu, Fei 1 Martin, Eileen R. 1 Meza, Juan C. 1 Orozco Bohorquez, Cindy 1 Ren, Bo 1 Tran, Kenneth 1 Xia, Jianlin 1 Xiu, Dongbin 1 Xu, Ze 1 Ye, Xin 1 Zhang, Hai all top 5 Serials 22 Journal of Computational Physics 19 Multiscale Modeling & Simulation 16 SIAM Journal on Scientific Computing 6 Communications in Mathematical Sciences 4 Research in the Mathematical Sciences 3 Communications on Pure and Applied Mathematics 3 Applied and Computational Harmonic Analysis 2 Mathematics of Computation 2 Journal of Scientific Computing 2 SIAM Journal on Imaging Sciences 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Chinese Annals of Mathematics. Series B 1 SIAM Journal on Matrix Analysis and Applications 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Foundations of Computational Mathematics 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 International Journal for Uncertainty Quantification 1 Information and Inference 1 Annals of Mathematical Sciences and Applications all top 5 Fields 87 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 15 Optics, electromagnetic theory (78-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Integral transforms, operational calculus (44-XX) 7 Computer science (68-XX) 6 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Information and communication theory, circuits (94-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 84 Publications have been cited 1,166 times in 697 Documents Cited by ▼ Year ▼ A kernel-independent adaptive fast multipole algorithm in two and three dimensions. Zbl 1053.65095Ying, Lexing; Biros, George; Zorin, Denis 120 2004 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 106 2006 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234Engquist, Björn; Ying, Lexing 82 2011 Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037Engquist, Björn; Ying, Lexing 62 2011 A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains. Zbl 1105.65115Ying, Lexing; Biros, George; Zorin, Denis 51 2006 A fast solver for the Stokes equations with distributed forces in complex geometries. Zbl 1047.76065Biros, George; Ying, Lexing; Zorin, Denis 39 2004 Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006Engquist, Björn; Ying, Lexing 35 2007 A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 31 2009 A fast direct solver for elliptic problems on general meshes in 2D. Zbl 1408.65022Schmitz, Phillip G.; Ying, Lexing 30 2012 Hierarchical interpolative factorization for elliptic operators: differential equations. Zbl 1353.35142Ho, Kenneth L.; Ying, Lexing 27 2016 A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing 26 2013 Fast construction of hierarchical matrix representation from matrix-vector multiplication. Zbl 1218.65038Lin, Lin; Lu, Jianfeng; Ying, Lexing 25 2011 Hierarchical interpolative factorization for elliptic operators: integral equations. Zbl 1344.65123Ho, Kenneth L.; Ying, Lexing 24 2016 Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. Zbl 1197.65156Qian, Jianliang; Ying, Lexing 24 2010 Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems. Zbl 1182.65072Lin, Lin; Lu, Jianfeng; Ying, Lexing; Car, Roberto; E, Weinan 24 2009 Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework. I: Total energy calculation. Zbl 1251.82008Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan 23 2012 A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178Engquist, Björn; Ying, Lexing 21 2009 Wave atoms and sparsity of oscillatory patterns. Zbl 1132.68068Demanet, Laurent; Ying, Lexing 20 2007 Fast multiscale Gaussian wavepacket transforms and multiscale Gaussian beams for the wave equation. Zbl 1223.65076Qian, Jianliang; Ying, Lexing 19 2010 Fast computation of Fourier integral operators. Zbl 1157.65522Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 19 2007 Sparse Fourier transform via butterfly algorithm. Zbl 1207.65169Ying, Lexing 18 2009 The phase flow method. Zbl 1110.65119Ying, Lexing; Candès, Emmanuel J. 17 2006 SelInv – an algorithm for selected inversion of a sparse symmetric matrix. Zbl 1365.65069Lin, Lin; Yang, Chao; Meza, Juan C.; Lu, Jianfeng; Ying, Lexing; E, Weinan 16 2011 A fast spectral algorithm for the quantum Boltzmann collision operator. Zbl 1260.82068Hu, Jingwei; Ying, Lexing 12 2012 Butterfly factorization. Zbl 1317.44004Li, Yingzhou; Yang, Haizhao; Martin, Eileen R.; Ho, Kenneth L.; Ying, Lexing 11 2015 A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013Tsuji, Paul; Engquist, Bjorn; Ying, Lexing 11 2012 A kernel independent fast multipole algorithm for radial basis functions. Zbl 1089.65018Ying, Lexing 11 2006 Sparsifying preconditioner for the Lippmann-Schwinger equation. Zbl 1317.65087Ying, Lexing 10 2015 A butterfly algorithm for synthetic aperture radar imaging. Zbl 1250.65033Demanet, Laurent; Ferrara, Matthew; Maxwell, Nicholas; Poulson, Jack; Ying, Lexing 10 2012 A fast parallel algorithm for selected inversion of structured sparse matrices with application to 2D electronic structure calculations. Zbl 1230.65039Lin, Lin; Yang, Chao; Lu, Jianfeng; Ying, Lexing; E, Weinan 10 2011 Fast geodesics computation with the phase flow method. Zbl 1110.65118Ying, Lexing; Candès, Emmanuel J. 10 2006 Synchrosqueezed wave packet transform for 2D mode decomposition. Zbl 1282.65036Yang, Haizhao; Ying, Lexing 9 2013 Discrete symbol calculus. Zbl 1210.65194Demanet, Laurent; Ying, Lexing 9 2011 Pole-based approximation of the Fermi-Dirac function. Zbl 1188.41007Lin, Lin; Lu, Jianfeng; Ying, Lexing; Weinan, E. 9 2009 Synchrosqueezed curvelet transform for two-dimensional mode decomposition. Zbl 1297.42053Yang, Haizhao; Ying, Lexing 8 2014 Fast wave computation via Fourier integral operators. Zbl 1245.65140Demanet, Laurent; Ying, Lexing 8 2012 Wave atoms and time upscaling of wave equations. Zbl 1179.65129Demanet, Laurent; Ying, Lexing 8 2009 A recursive skeletonization factorization based on strong admissibility. Zbl 1365.65286Minden, Victor; Ho, Kenneth L.; Ying, Lexing 7 2017 Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing 7 2014 A parallel butterfly algorithm. Zbl 1290.65127Poulson, Jack; Demanet, Laurent; Maxwell, Nicholas; Ying, Lexing 7 2014 Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions. Zbl 1252.65196Jiang, Shidong; Ren, Bo; Tsuji, Paul; Ying, Lexing 7 2011 Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing 6 2019 SCDM-k: localized orbitals for solids via selected columns of the density matrix. Zbl 1375.81255Damle, Anil; Lin, Lin; Ying, Lexing 6 2017 Additive sweeping preconditioner for the Helmholtz equation. Zbl 1338.65077Liu, Fei; Ying, Lexing 6 2016 Recursive sweeping preconditioner for the three-dimensional Helmholtz equation. Zbl 1376.65035Liu, Fei; Ying, Lexing 6 2016 Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost. Zbl 1349.81020Lu, Jianfeng; Ying, Lexing 6 2015 Crystal image analysis using 2D synchrosqueezed transforms. Zbl 1336.74016Yang, Haizhao; Lu, Jianfeng; Ying, Lexing 6 2015 A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices. Zbl 1349.65598Schmitz, Phillip G.; Ying, Lexing 6 2014 A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations. Zbl 1253.78049Tsuji, Paul; Ying, Lexing 6 2012 Optimized local basis set for Kohn-Sham density functional theory. Zbl 1250.82002Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan 6 2012 Fast spatial Gaussian process maximum likelihood estimation via skeletonization factorizations. Zbl 1378.65092Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing 5 2017 A technique for updating hierarchical skeletonization-based factorizations of integral operators. Zbl 1329.65317Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing 5 2016 A multiscale butterfly algorithm for multidimensional Fourier integral operators. Zbl 1317.44005Li, Yingzhou; Yang, Haizhao; Ying, Lexing 5 2015 Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103Engquist, Björn; Ying, Lexing 5 2010 Multidimensional butterfly factorization. Zbl 1390.44016Li, Yingzhou; Yang, Haizhao; Ying, Lexing 4 2018 Sparsifying preconditioner for pseudospectral approximations of indefinite systems on periodic structures. Zbl 1317.65086Ying, Lexing 4 2015 Fast directional computation of high frequency boundary integrals via local FFTs. Zbl 1317.65244Ying, Lexing 4 2015 A fast algorithm for multilinear operators. Zbl 1247.65176Yang, Haizhao; Ying, Lexing 4 2012 Fast method for high-frequency acoustic scattering from random scatterers. Zbl 05949801Tsuji, Paul; Xiu, Dongbin; Ying, Lexing 4 2011 Scattering in flatland: Efficient representations via wave atoms. Zbl 1197.65192Demanet, Laurent; Ying, Lexing 4 2010 Fast computation of partial Fourier transforms. Zbl 1186.65166Ying, Lexing; Fomel, Sergey 4 2009 Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing 3 2020 A multiscale neural network based on hierarchical nested bases. Zbl 07096701Fan, Yuwei; Feliu-Fabà, Jordi; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo 3 2019 Sparsify and sweep: an efficient preconditioner for the Lippmann-Schwinger equation. Zbl 1392.65035Liu, Fei; Ying, Lexing 3 2018 Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141Li, Yingzhou; Ying, Lexing 3 2017 Fast algorithm for periodic density fitting for Bloch waves. Zbl 1381.65098Lu, Jianfeng; Ying, Lexing 3 2016 A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai 3 2013 Simple, direct and efficient multi-way spectral clustering. Zbl 07127826Damle, Anil; Minden, Victor; Ying, Lexing 2 2019 An entropic Fourier method for the Boltzmann equation. Zbl 1406.65093Cai, Zhenning; Fan, Yuwei; Ying, Lexing 2 2018 Adaptively compressed polarizability operator for accelerating large scale ab initio phonon calculations. Zbl 1369.82020Lin, Lin; Xu, Ze; Ying, Lexing 2 2017 Sparsifying preconditioner for soliton calculations. Zbl 1349.65606Lu, Jianfeng; Ying, Lexing 2 2016 Directional preconditioner for 2D high frequency obstacle scattering. Zbl 1317.65245Ying, Lexing 2 2015 A fast directional algorithm for high-frequency electromagnetic scattering. Zbl 1220.78049Tsuji, Paul; Ying, Lexing 2 2011 A simple solver for the fractional Laplacian in multiple dimensions. Zbl 1437.65242Minden, Victor; Ying, Lexing 1 2020 SwitchNet: a neural Network Model for forward and inverse scattering problems. Zbl 1425.65208Khoo, Yuehaw; Ying, Lexing 1 2019 Convex relaxation approaches for strictly correlated density functional theory. Zbl 1423.49033Khoo, Yuehaw; Ying, Lexing 1 2019 Numerical methods for Kohn-Sham density functional theory. Zbl 07099162Lin, Lin; Lu, Jianfeng; Ying, Lexing 1 2019 Computing localized representations of the Kohn-Sham subspace via randomization and refinement. Zbl 1382.82022Damle, Anil; Lin, Lin; Ying, Lexing 1 2017 Localized sparsifying preconditioner for periodic indefinite systems. Zbl 1369.65153Liu, Fei; Ying, Lexing 1 2017 Pole expansion for solving a type of parametrized linear systems in electronic structure calculations. Zbl 1310.65047Damle, Anil; Lin, Lin; Ying, Lexing 1 2014 A parallel directional fast multipole method. Zbl 1305.78017Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing 1 2014 A pedestrian introduction to fast multipole methods. Zbl 1259.65187Ying, Lexing 1 2012 Fast algorithms for high frequency wave propagation. Zbl 1248.65114Engquist, Björn; Ying, Lexing 1 2012 Fast algorithms for boundary integral equations. Zbl 1159.65365Ying, Lexing 1 2009 Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing 3 2020 A simple solver for the fractional Laplacian in multiple dimensions. Zbl 1437.65242Minden, Victor; Ying, Lexing 1 2020 Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing 6 2019 A multiscale neural network based on hierarchical nested bases. Zbl 07096701Fan, Yuwei; Feliu-Fabà, Jordi; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo 3 2019 Simple, direct and efficient multi-way spectral clustering. Zbl 07127826Damle, Anil; Minden, Victor; Ying, Lexing 2 2019 SwitchNet: a neural Network Model for forward and inverse scattering problems. Zbl 1425.65208Khoo, Yuehaw; Ying, Lexing 1 2019 Convex relaxation approaches for strictly correlated density functional theory. Zbl 1423.49033Khoo, Yuehaw; Ying, Lexing 1 2019 Numerical methods for Kohn-Sham density functional theory. Zbl 07099162Lin, Lin; Lu, Jianfeng; Ying, Lexing 1 2019 Multidimensional butterfly factorization. Zbl 1390.44016Li, Yingzhou; Yang, Haizhao; Ying, Lexing 4 2018 Sparsify and sweep: an efficient preconditioner for the Lippmann-Schwinger equation. Zbl 1392.65035Liu, Fei; Ying, Lexing 3 2018 An entropic Fourier method for the Boltzmann equation. Zbl 1406.65093Cai, Zhenning; Fan, Yuwei; Ying, Lexing 2 2018 A recursive skeletonization factorization based on strong admissibility. Zbl 1365.65286Minden, Victor; Ho, Kenneth L.; Ying, Lexing 7 2017 SCDM-k: localized orbitals for solids via selected columns of the density matrix. Zbl 1375.81255Damle, Anil; Lin, Lin; Ying, Lexing 6 2017 Fast spatial Gaussian process maximum likelihood estimation via skeletonization factorizations. Zbl 1378.65092Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing 5 2017 Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141Li, Yingzhou; Ying, Lexing 3 2017 Adaptively compressed polarizability operator for accelerating large scale ab initio phonon calculations. Zbl 1369.82020Lin, Lin; Xu, Ze; Ying, Lexing 2 2017 Computing localized representations of the Kohn-Sham subspace via randomization and refinement. Zbl 1382.82022Damle, Anil; Lin, Lin; Ying, Lexing 1 2017 Localized sparsifying preconditioner for periodic indefinite systems. Zbl 1369.65153Liu, Fei; Ying, Lexing 1 2017 Hierarchical interpolative factorization for elliptic operators: differential equations. Zbl 1353.35142Ho, Kenneth L.; Ying, Lexing 27 2016 Hierarchical interpolative factorization for elliptic operators: integral equations. Zbl 1344.65123Ho, Kenneth L.; Ying, Lexing 24 2016 Additive sweeping preconditioner for the Helmholtz equation. Zbl 1338.65077Liu, Fei; Ying, Lexing 6 2016 Recursive sweeping preconditioner for the three-dimensional Helmholtz equation. Zbl 1376.65035Liu, Fei; Ying, Lexing 6 2016 A technique for updating hierarchical skeletonization-based factorizations of integral operators. Zbl 1329.65317Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing 5 2016 Fast algorithm for periodic density fitting for Bloch waves. Zbl 1381.65098Lu, Jianfeng; Ying, Lexing 3 2016 Sparsifying preconditioner for soliton calculations. Zbl 1349.65606Lu, Jianfeng; Ying, Lexing 2 2016 Butterfly factorization. Zbl 1317.44004Li, Yingzhou; Yang, Haizhao; Martin, Eileen R.; Ho, Kenneth L.; Ying, Lexing 11 2015 Sparsifying preconditioner for the Lippmann-Schwinger equation. Zbl 1317.65087Ying, Lexing 10 2015 Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost. Zbl 1349.81020Lu, Jianfeng; Ying, Lexing 6 2015 Crystal image analysis using 2D synchrosqueezed transforms. Zbl 1336.74016Yang, Haizhao; Lu, Jianfeng; Ying, Lexing 6 2015 A multiscale butterfly algorithm for multidimensional Fourier integral operators. Zbl 1317.44005Li, Yingzhou; Yang, Haizhao; Ying, Lexing 5 2015 Sparsifying preconditioner for pseudospectral approximations of indefinite systems on periodic structures. Zbl 1317.65086Ying, Lexing 4 2015 Fast directional computation of high frequency boundary integrals via local FFTs. Zbl 1317.65244Ying, Lexing 4 2015 Directional preconditioner for 2D high frequency obstacle scattering. Zbl 1317.65245Ying, Lexing 2 2015 Synchrosqueezed curvelet transform for two-dimensional mode decomposition. Zbl 1297.42053Yang, Haizhao; Ying, Lexing 8 2014 Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing 7 2014 A parallel butterfly algorithm. Zbl 1290.65127Poulson, Jack; Demanet, Laurent; Maxwell, Nicholas; Ying, Lexing 7 2014 A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices. Zbl 1349.65598Schmitz, Phillip G.; Ying, Lexing 6 2014 Pole expansion for solving a type of parametrized linear systems in electronic structure calculations. Zbl 1310.65047Damle, Anil; Lin, Lin; Ying, Lexing 1 2014 A parallel directional fast multipole method. Zbl 1305.78017Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing 1 2014 A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing 26 2013 Synchrosqueezed wave packet transform for 2D mode decomposition. Zbl 1282.65036Yang, Haizhao; Ying, Lexing 9 2013 A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai 3 2013 A fast direct solver for elliptic problems on general meshes in 2D. Zbl 1408.65022Schmitz, Phillip G.; Ying, Lexing 30 2012 Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework. I: Total energy calculation. Zbl 1251.82008Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan 23 2012 A fast spectral algorithm for the quantum Boltzmann collision operator. Zbl 1260.82068Hu, Jingwei; Ying, Lexing 12 2012 A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013Tsuji, Paul; Engquist, Bjorn; Ying, Lexing 11 2012 A butterfly algorithm for synthetic aperture radar imaging. Zbl 1250.65033Demanet, Laurent; Ferrara, Matthew; Maxwell, Nicholas; Poulson, Jack; Ying, Lexing 10 2012 Fast wave computation via Fourier integral operators. Zbl 1245.65140Demanet, Laurent; Ying, Lexing 8 2012 A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations. Zbl 1253.78049Tsuji, Paul; Ying, Lexing 6 2012 Optimized local basis set for Kohn-Sham density functional theory. Zbl 1250.82002Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan 6 2012 A fast algorithm for multilinear operators. Zbl 1247.65176Yang, Haizhao; Ying, Lexing 4 2012 A pedestrian introduction to fast multipole methods. Zbl 1259.65187Ying, Lexing 1 2012 Fast algorithms for high frequency wave propagation. Zbl 1248.65114Engquist, Björn; Ying, Lexing 1 2012 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234Engquist, Björn; Ying, Lexing 82 2011 Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037Engquist, Björn; Ying, Lexing 62 2011 Fast construction of hierarchical matrix representation from matrix-vector multiplication. Zbl 1218.65038Lin, Lin; Lu, Jianfeng; Ying, Lexing 25 2011 SelInv – an algorithm for selected inversion of a sparse symmetric matrix. Zbl 1365.65069Lin, Lin; Yang, Chao; Meza, Juan C.; Lu, Jianfeng; Ying, Lexing; E, Weinan 16 2011 A fast parallel algorithm for selected inversion of structured sparse matrices with application to 2D electronic structure calculations. Zbl 1230.65039Lin, Lin; Yang, Chao; Lu, Jianfeng; Ying, Lexing; E, Weinan 10 2011 Discrete symbol calculus. Zbl 1210.65194Demanet, Laurent; Ying, Lexing 9 2011 Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions. Zbl 1252.65196Jiang, Shidong; Ren, Bo; Tsuji, Paul; Ying, Lexing 7 2011 Fast method for high-frequency acoustic scattering from random scatterers. Zbl 05949801Tsuji, Paul; Xiu, Dongbin; Ying, Lexing 4 2011 A fast directional algorithm for high-frequency electromagnetic scattering. Zbl 1220.78049Tsuji, Paul; Ying, Lexing 2 2011 Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. Zbl 1197.65156Qian, Jianliang; Ying, Lexing 24 2010 Fast multiscale Gaussian wavepacket transforms and multiscale Gaussian beams for the wave equation. Zbl 1223.65076Qian, Jianliang; Ying, Lexing 19 2010 Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103Engquist, Björn; Ying, Lexing 5 2010 Scattering in flatland: Efficient representations via wave atoms. Zbl 1197.65192Demanet, Laurent; Ying, Lexing 4 2010 A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 31 2009 Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems. Zbl 1182.65072Lin, Lin; Lu, Jianfeng; Ying, Lexing; Car, Roberto; E, Weinan 24 2009 A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178Engquist, Björn; Ying, Lexing 21 2009 Sparse Fourier transform via butterfly algorithm. Zbl 1207.65169Ying, Lexing 18 2009 Pole-based approximation of the Fermi-Dirac function. Zbl 1188.41007Lin, Lin; Lu, Jianfeng; Ying, Lexing; Weinan, E. 9 2009 Wave atoms and time upscaling of wave equations. Zbl 1179.65129Demanet, Laurent; Ying, Lexing 8 2009 Fast computation of partial Fourier transforms. Zbl 1186.65166Ying, Lexing; Fomel, Sergey 4 2009 Fast algorithms for boundary integral equations. Zbl 1159.65365Ying, Lexing 1 2009 Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006Engquist, Björn; Ying, Lexing 35 2007 Wave atoms and sparsity of oscillatory patterns. Zbl 1132.68068Demanet, Laurent; Ying, Lexing 20 2007 Fast computation of Fourier integral operators. Zbl 1157.65522Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 19 2007 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 106 2006 A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains. Zbl 1105.65115Ying, Lexing; Biros, George; Zorin, Denis 51 2006 The phase flow method. Zbl 1110.65119Ying, Lexing; Candès, Emmanuel J. 17 2006 A kernel independent fast multipole algorithm for radial basis functions. Zbl 1089.65018Ying, Lexing 11 2006 Fast geodesics computation with the phase flow method. Zbl 1110.65118Ying, Lexing; Candès, Emmanuel J. 10 2006 A kernel-independent adaptive fast multipole algorithm in two and three dimensions. Zbl 1053.65095Ying, Lexing; Biros, George; Zorin, Denis 120 2004 A fast solver for the Stokes equations with distributed forces in complex geometries. Zbl 1047.76065Biros, George; Ying, Lexing; Zorin, Denis 39 2004 all cited Publications top 5 cited Publications all top 5 Cited by 1,106 Authors 55 Ying, Lexing 19 Lu, Jianfeng 18 Darve, Eric 17 Lin, Lin 17 Yang, Haizhao 15 Biros, George 14 Gander, Martin Jakob 12 Greengard, Leslie F. 12 Qian, Jianliang 11 Demanet, Laurent 11 Zorin, Denis N. 10 Leung, Shingyu 10 Martinsson, Per-Gunnar 10 Tornberg, Anna-Karin 9 Barnett, Alex H. 9 Jiang, Shidong 9 Xia, Jianlin 8 de Hoop, Maarten V. 8 Ho, Kenneth L. 8 Li, Yingzhou 8 Saad, Yousef 7 Cai, Wei 7 Gillman, Adrianna 7 Quaife, Bryan D. 7 Runborg, Olof 7 Veerapaneni, Shravan Kumar 7 Wei, Guowei 7 You, Guoqiao 7 Zepeda-Núñez, Leonardo 6 Bao, Gang 6 Damle, Anil 6 Grohs, Philipp 6 Keyes, David Elliot 6 Melenk, Jens Markus 6 Rahimian, Abtin 5 Börm, Steffen 5 Daubechies, Ingrid Chantal 5 Fan, Yuwei 5 Helsing, Johan 5 Hu, Guanghui 5 Kutyniok, Gitta 5 Labate, Demetrio 5 Pardo, David 5 Rachh, Manas 5 Shelley, Michael J. 5 Spence, Euan A. 5 Stolk, Christiaan C. 5 Tsuji, Paul 5 Xi, Yuanzhe 5 Zhang, Hui 4 Ambikasaran, Sivaram 4 Bremer, James C. 4 Bui-Thanh, Tan 4 Calo, Victor Manuel 4 Chaillat, Stéphanie 4 Chen, Duan 4 Chow, Edmond G. W. 4 Cordero, Elena 4 Dolean, Victorita 4 E, Weinan 4 Engquist, Bjorn E. 4 Geuzaine, Christophe A. 4 Ghattas, Omar N. 4 Graham, Ivan G. 4 Hu, Jingwei 4 Hu, Qiya 4 Huang, Jingfang 4 Jin, Shi 4 Klöckner, Andreas 4 Ma, Jianwei 4 Minden, Victor 4 Nicola, Fabio 4 Oseledets, Ivan V. 4 Paszyński, Maciej 4 Pérez-Arancibia, Carlos 4 Plonka, Gerlind 4 Rouet, François-Henry 4 Steidl, Gabriele 4 Turc, Catalin 4 Turkiyyah, George M. 4 Xing, Xin 4 Xu, Zhenli 4 Yang, Xu 4 Ying, Wenjun 4 Zhao, Hongkai 4 Zhuang, Xiaosheng 4 Zou, Jun 3 Alger, Nick 3 Andersson, Fredrik K. 3 Balakrishnan, Venkataramanan 3 Beale, J. Thomas 3 Bermejo-Moreno, Iván 3 Bonnet, Marc 3 Burridge, Robert 3 Calandra, Henri 3 Cambier, Léopold 3 Cauley, Stephen 3 Chávez, Gustavo 3 Chen, Wen 3 Cho, Minhyung ...and 1,006 more Authors all top 5 Cited in 114 Serials 181 Journal of Computational Physics 73 SIAM Journal on Scientific Computing 40 Applied and Computational Harmonic Analysis 27 Journal of Scientific Computing 27 Multiscale Modeling & Simulation 17 Computers & Mathematics with Applications 16 Advances in Computational Mathematics 14 Engineering Analysis with Boundary Elements 12 Journal of Computational and Applied Mathematics 12 SIAM Journal on Matrix Analysis and Applications 11 Mathematics of Computation 11 Numerische Mathematik 11 Numerical Linear Algebra with Applications 9 Computer Methods in Applied Mechanics and Engineering 9 International Journal of Wavelets, Multiresolution and Information Processing 7 Journal of Fluid Mechanics 7 SIAM Journal on Numerical Analysis 7 SIAM Journal on Imaging Sciences 6 BIT 6 International Journal for Numerical Methods in Engineering 6 Numerical Algorithms 6 Research in the Mathematical Sciences 5 Computational Mechanics 5 The Journal of Fourier Analysis and Applications 5 Acta Numerica 4 Computers and Fluids 4 Communications on Pure and Applied Mathematics 4 Applied Numerical Mathematics 4 Journal of Mathematical Imaging and Vision 4 Foundations of Computational Mathematics 3 Inverse Problems 3 Wave Motion 3 ACM Transactions on Mathematical Software 3 Applied Mathematics and Computation 3 Journal of Approximation Theory 3 Signal Processing 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Mathematical Problems in Engineering 3 Computational Geosciences 3 Science China. Mathematics 2 Applicable Analysis 2 Computer Physics Communications 2 Information Sciences 2 Chinese Annals of Mathematics. Series B 2 Computer Aided Geometric Design 2 Multidimensional Systems and Signal Processing 2 Pattern Recognition 2 SIAM Review 2 Computational Statistics and Data Analysis 2 Computational Methods in Applied Mathematics 2 Sādhanā 2 Inverse Problems in Science and Engineering 2 Frontiers of Mathematics in China 2 Journal of Pseudo-Differential Operators and Applications 2 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Journal of Functional Analysis 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 ACM Transactions on Graphics 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 COMPEL 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Neural Computation 1 Differential Geometry and its Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Archive of Applied Mechanics 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Mathematical Methods of Operations Research 1 Chaos 1 Annales Henri Poincaré 1 Advances in Difference Equations 1 Oberwolfach Reports 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Signal, Image and Video Processing 1 Computational & Mathematical Methods in Medicine 1 Inverse Problems and Imaging ...and 14 more Serials all top 5 Cited in 42 Fields 525 Numerical analysis (65-XX) 224 Partial differential equations (35-XX) 81 Fluid mechanics (76-XX) 79 Optics, electromagnetic theory (78-XX) 62 Information and communication theory, circuits (94-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 55 Computer science (68-XX) 39 Mechanics of deformable solids (74-XX) 31 Statistical mechanics, structure of matter (82-XX) 29 Quantum theory (81-XX) 26 Integral equations (45-XX) 25 Approximations and expansions (41-XX) 24 Statistics (62-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 20 Biology and other natural sciences (92-XX) 15 Geophysics (86-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Operations research, mathematical programming (90-XX) 11 Ordinary differential equations (34-XX) 11 Integral transforms, operational calculus (44-XX) 10 Potential theory (31-XX) 9 Probability theory and stochastic processes (60-XX) 8 Mechanics of particles and systems (70-XX) 7 Operator theory (47-XX) 7 Systems theory; control (93-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Difference and functional equations (39-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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